Ratio of molar heat capacity at constant pressure and at constant volume for monoatomic and diatomic gas is?
Ratio of molar heat capacity at constant pressure and at constant volume for monoatomic and diatomic gas is?
25 : 21
21 : 25
16 : 25
25 : 16
The Correct Option is A
Solution and Explanation
The correct answer is(A): 25 : 21
\(\frac{5}{3}\)/\(\frac{7}{5}\) \(\Rightarrow\)\(\frac{5}{3}\)x\(\frac{7}{5}\) = \(\frac{25}{21}\)
Top Questions on Thermodynamics
- One kg of water at 27\(^\circ\)C is brought in contact with a heat reservoir kept at 37\(^\circ\)C. Upon reaching thermal equilibrium, this mass of water is brought in contact with another heat reservoir kept at 47\(^\circ\)C. The final temperature of water is 47\(^\circ\)C. The change in entropy of the whole system in this entire process is \rule{1cm{0.15mm} cal/K. (up to two decimal places)
Take specific heat at constant pressure of water as 1 cal/(g K)}
- IIT JAM PHY - 2025
- Physics
- Thermodynamics
- Three gaseous systems, \(G_1, G_2\), and \(G_3\) with pressure and volume (\(P_1, V_1\)), (\(P_2, V_2\)), and (\(P_3, V_3\)), respectively, are such that
(I) when \(G_1\) and \(G_2\) are in thermal equilibrium, \(P_1V_1 - P_2V_2 + \alpha P_2 = 0\), is satisfied, and
(II) when \(G_1\) and \(G_3\) are in thermal equilibrium, \(P_3V_3 - P_1V_1 + \frac{\beta P_1V_1}{V_3} = 0\), is satisfied.
The relation(s) valid at thermal equilibrium is(are)
(\(\alpha\) and \(\beta\) are constants of appropriate dimensions)- IIT JAM PHY - 2025
- Physics
- Thermodynamics
- An ideal mono-atomic gas is expanded adiabatically from A to B. It is then compressed in an isobaric process from B to C. Finally, the pressure is increased in an isochoric process from C to A. The cyclic process is shown in the figure below. For this system, which of the following is(are) correct?
- IIT JAM PHY - 2025
- Physics
- Thermodynamics
- Consider Maxwell's relation \( \left(\frac{\partial S}{\partial V}\right)_T = \left(\frac{\partial P}{\partial T}\right)_V \). The equation of state of a thermodynamic system is given as \( P = \frac{AT}{\sqrt{V}} + \frac{BT^3}{V} \), where A and B are constants of appropriate dimensions. Then \( \left(\frac{\partial C_V}{\partial V}\right)_T \) of the system varies with temperature as (\(C_V\) is the heat capacity at constant volume)
- IIT JAM PHY - 2025
- Physics
- Thermodynamics
- Temperatures at two sides of a 0.4 m thick copper plate are 1000 and 500 °C. Assuming steady state, one-dimensional conductive heat transfer through the wall and ignoring end-effects, the magnitude of the heat flux through the wall is ............... × 10$^5$ W m$^{-2$ (in integer).} Given: Thermal conductivity of copper = 400 W m$^{-1}$ K$^{-1}$
- GATE MT - 2025
- Metallurgical Thermodynamics
- Thermodynamics
Questions Asked in JEE Main exam
- Let \( \alpha, \beta, \gamma \) and \( \delta \) be the coefficients of \( x^7, x^5, x^3, x \) respectively in the expansion of \( (x + \sqrt{x^3 - 1})^5 + (x - \sqrt{x^3 - 1})^5, \, x > 1 \). If \( \alpha u + \beta v = 18 \), \( \gamma u + \delta v = 20 \), then \( u + v \) equals:
- JEE Main - 2025
- binomial expansion formula
- Let \[ \int x^3 \sin x \, dx = g(x) + C, \quad \text{where \( C \) is the constant of integration.} \] If \[ g\left( \frac{\pi}{2} \right) + g\left( \frac{\pi}{2} \right) = \alpha \pi^3 + \beta \pi^2 + \gamma, \quad \alpha, \beta, \gamma \in {Z}, \] then \[ \alpha + \beta - \gamma \text{ equals:} \]
- JEE Main - 2025
- Integration by Parts
- The center of mass of a thin rectangular plate (fig - x) with sides of length \( a \) and \( b \), whose mass per unit area (\( \sigma \)) varies as \( \sigma = \sigma_0 \frac{x}{ab} \) (where \( \sigma_0 \) is a constant), would be
- JEE Main - 2025
- System of Particles & Rotational Motion
Electrolysis of 600 mL aqueous solution of NaCl for 5 min changes the pH of the solution to 12. The current in Amperes used for the given electrolysis is ….. (Nearest integer).
- JEE Main - 2025
- Electrolysis
If the system of equations \[ x + 2y - 3z = 2, \quad 2x + \lambda y + 5z = 5, \quad 14x + 3y + \mu z = 33 \] has infinitely many solutions, then \( \lambda + \mu \) is equal to:}
- JEE Main - 2025
- Calculus
Concepts Used:
Specific Heat Capacity
Specific heat of a solid or liquid is the amount of heat that raises the temperature of a unit mass of the solid through 1°C.
Molar Specific Heat:
The Molar specific heat of a solid or liquid of a material is the heat that you provide to raise the temperature of one mole of solid or liquid through 1K or 1°C.
Specific Heat at Constant Pressure or Volume:
The volume of solid remains constant when heated through a small range of temperature. This is known as specific heat at a constant volume. It is denoted as CV.
The pressure of solid remains constant when heated through a small range of temperature. This is known as specific heat at constant pressure which can be denoted as CP.